Question

The sum of three consecutive numbers is 63. Find the numbers.​

Answer 1

✬Correct Question✬

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \bullet$ The sum of three consecutive numbers is 63. Find the numbers.

✬To Find✬

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \bullet$ To find that the other three consecutive numbers.

✬Given✬

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \bullet$ Given that is Sum of three consecutive numbers = 63.

✬Solution✬

Let,

• First number be x
• Second number be x + 2
• Third number be x + 4

According to the question,

$\longmapsto \sf{x + (x + 2) + (x + 4)} = 63$

Removing the brackets,

$\longmapsto \sf{x + x + 2 + x + 4} = 63$

$\longmapsto \sf{3x+ 6} = 63$

$\longmapsto \sf{3x \: = 63 - 6}$

$\longmapsto \sf{3x \: = 57}$

$\longmapsto \sf{x \: = \large{\cancel\frac{57}{3}}}$

$\longmapsto \sf{x \: = 19}$

Therefore,The value of x is 19.

So,

$\:\:\:\:\:\:\:\:\sf{x \implies \:19 }$

$\sf{x + 2 \implies \:19 + 2 = 21}$

$\sf{x + 4 \implies \:19 + 4 = 23}$

Thus,The other three consecutive number is 19,21,23.

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